24 × 5 × 1201
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1201, 2402, 4804, 6005, 9608, 12010, 19216, 24020, 48040 and 96080
No.
Its nearest Fibonacci number neighbors are 75025 and 121393.